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Finding the Fourth Proportional to 9,707.56, 14,559.48 and 3,132.16

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Solution

The fourth proportional to 9,707.56, 14,559.48 and 3,132.16 is: 4,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.56 : 14,559.48 = 3,132.16 : x
  2. Step 2: Convert to fraction form
    9,707.56/14,559.48 = 3,132.16/x
  3. Step 3: Cross multiply
    9,707.56x = 14,559.48 × 3,132.16
  4. Step 4: Simplify right side
    9,707.56x = 45,602,620.88
  5. Step 5: Solve for x
    x = 45,602,620.88/9,707.56
  6. Step 6: Final answer
    x = 4,697.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.